Suppose you are given the following information on the S&P 500. Calculate the simple three-day moving average for the S&P 500 and the exponential three-day moving average where 2/3 of the weight is placed on the most recent close. (please show HOW you got this? Not just the answer. This is the part I'm struggling with. Thanks) Why would you want to know the moving average for an index? If the close on October 14, 2015 was below the three-day moving average, would it be a buy or sell signal?

Date	Close
10/1/15	1923.82
10/2/15	1951.36
10/5/15	1987.05
10/6/15	1979.92
10/7/15	1995.83
10/8/15	2013.43
10/9/15	2014.89
10/12/15	2017.46
10/13/15	20003.69 (THIS IS CORRECT. DO NOT CHANGE)
10/14/15	1994.24

Again, please show your work. I would like to understand how to calculate this for my test, Thanks.